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A sinc-collocation method for the linear Fredholm integro-differential equations. (English) Zbl 1116.65131

Summary: A sinc-collocation method for solving linear integro-differential equations of the Fredholm type is discussed. The integro-differential equations are reduced to a system of algebraic equations and the QR method is used to establish numerical procedures. The convergence rate of the method is \(O\left(e^{- k\sqrt N} \right)\). Numerical results are included to confirm the efficiency and accuracy of the method even in the presence of singularities and a comparison with the rationalized Haar wavelet method is made.

MSC:

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
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